Other

Logic

An introduction to propositional logic. What a statement and an atomic statement are, and the logical connectives conjunction, disjunction, implication and biconditional (equivalence), and their negations.

Puzzles

A collection of maths and logic puzzles with no solutions given. Einstein’s riddle, the missing shape, the telepathy puzzle and more.

Absolute value

What the absolute value of a number is, how it is written and what properties it has. Worked examples with absolute values and graphs of functions.

Factorial

What the factorial of a number is, how it is written and why 0! = 1. The definition, calculating with factorials and their use in combinatorics and permutations.

Ratios and proportions

What a ratio is and how to calculate with it. Ratios are always relative, worked examples from everyday life and the link to map scale.

Rearranging formulae

How to isolate one particular variable in a formula. The method for simple linear expressions and for fractions, with worked examples.

Mathematical symbols

An overview of mathematical symbols and their meaning. Square root, sum, product, set and logic symbols explained in one list.

Mathematical tools

An overview of useful online maths tools. Wolfram Alpha, Limit Calculator and GeoGebra – what they can do and how they can help you learn.

Map scale

Map scale and how to calculate with it. Converting a distance on the map to the real distance and back, a calculator and a more precise definition of map scale.

How to solve number sequences

How to solve number sequences from logic tests. Ways to spot the rule of a sequence – adding, multiplying, alternating sequences and more complicated types.

Pascal’s triangle

How to build Pascal’s triangle and what is hidden in it. Triangular numbers, row sums, prime numbers and the link to the binomial theorem.

Proofs

What a mathematical proof is and why we prove things in maths at all. An overview of the types of proof: trivial, direct, indirect and disproof by counterexample.